-4[-2(x-3)-2(x+1)+.5(8x-6)]-(x-4)=-2(x-8)+2x

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Solution for -4[-2(x-3)-2(x+1)+.5(8x-6)]-(x-4)=-2(x-8)+2x equation: 


Simplifying
-4[-2(x + -3) + -2(x + 1) + 0.5(8x + -6)] + -1(x + -4) = -2(x + -8) + 2x

Reorder the terms:
-4[-2(-3 + x) + -2(x + 1) + 0.5(8x + -6)] + -1(x + -4) = -2(x + -8) + 2x
-4[(-3 * -2 + x * -2) + -2(x + 1) + 0.5(8x + -6)] + -1(x + -4) = -2(x + -8) + 2x
-4[(6 + -2x) + -2(x + 1) + 0.5(8x + -6)] + -1(x + -4) = -2(x + -8) + 2x

Reorder the terms:
-4[6 + -2x + -2(1 + x) + 0.5(8x + -6)] + -1(x + -4) = -2(x + -8) + 2x
-4[6 + -2x + (1 * -2 + x * -2) + 0.5(8x + -6)] + -1(x + -4) = -2(x + -8) + 2x
-4[6 + -2x + (-2 + -2x) + 0.5(8x + -6)] + -1(x + -4) = -2(x + -8) + 2x

Reorder the terms:
-4[6 + -2x + -2 + -2x + 0.5(-6 + 8x)] + -1(x + -4) = -2(x + -8) + 2x
-4[6 + -2x + -2 + -2x + (-6 * 0.5 + 8x * 0.5)] + -1(x + -4) = -2(x + -8) + 2x
-4[6 + -2x + -2 + -2x + (-3 + 4x)] + -1(x + -4) = -2(x + -8) + 2x

Reorder the terms:
-4[6 + -2 + -3 + -2x + -2x + 4x] + -1(x + -4) = -2(x + -8) + 2x

Combine like terms: 6 + -2 = 4
-4[4 + -3 + -2x + -2x + 4x] + -1(x + -4) = -2(x + -8) + 2x

Combine like terms: 4 + -3 = 1
-4[1 + -2x + -2x + 4x] + -1(x + -4) = -2(x + -8) + 2x

Combine like terms: -2x + -2x = -4x
-4[1 + -4x + 4x] + -1(x + -4) = -2(x + -8) + 2x

Combine like terms: -4x + 4x = 0
-4[1 + 0] + -1(x + -4) = -2(x + -8) + 2x
-4[1] + -1(x + -4) = -2(x + -8) + 2x

Multiply -4 * 1
-4 + -1(x + -4) = -2(x + -8) + 2x

Reorder the terms:
-4 + -1(-4 + x) = -2(x + -8) + 2x
-4 + (-4 * -1 + x * -1) = -2(x + -8) + 2x
-4 + (4 + -1x) = -2(x + -8) + 2x

Combine like terms: -4 + 4 = 0
0 + -1x = -2(x + -8) + 2x
-1x = -2(x + -8) + 2x

Reorder the terms:
-1x = -2(-8 + x) + 2x
-1x = (-8 * -2 + x * -2) + 2x
-1x = (16 + -2x) + 2x

Combine like terms: -2x + 2x = 0
-1x = 16 + 0
-1x = 16

Solving
-1x = 16

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Divide each side by '-1'.
x = -16

Simplifying
x = -16

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